Expanding soliton from metric cone

In this talk, we will discuss how Ricci flow smoothing can be used to produce expanding Ricci solitons coming out of a metric cone, when the curvature is non-negative. We will discuss how its relation to problem in Hamilton-Lott pinching conjecture. This is based on joint work with Chan and Peachey.

Man-Chun Lee is currently an Assistant Professor at The Chinese University of Hong Kong. Previously, he was a Boas Assistant Professor at Northwestern University and a Research Fellow at Warwick University. He received his PhD in mathematics at The Chinese University of Hong Kong under the supervision of Luen-Fai TAM.